- Vieques is not a city, but rather an island municipality in Puerto Rico. It is located in the northeastern Caribbean Sea, east of the main island of Puerto Rico. The main settlement on the island is Isabel Segunda, where the local government offices are located. Vieques is known for its beautiful beaches, bio bay, and natural beauty. The island has a unique history, including being used as a naval training ground by the United States Navy until 2003. Tourism is an important part of the local economy, and visitors come to Vieques to enjoy its pristine beaches and to explore its natural wonders.